ASVAB Arithmetic Reasoning Practice Test 388196 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

If a mayor is elected with 90% of the votes cast and 63% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
20,790
16,078
24,948
18,572

Solution

If 63% of the town's 44,000 voters cast ballots the number of votes cast is:

(\( \frac{63}{100} \)) x 44,000 = \( \frac{2,772,000}{100} \) = 27,720

The mayor got 90% of the votes cast which is:

(\( \frac{90}{100} \)) x 27,720 = \( \frac{2,494,800}{100} \) = 24,948 votes.


2

What is -2a5 + 4a5?

66% Answer Correctly
2a5
2a25
2a10
6a-5

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-2a5 + 4a5
(-2 + 4)a5
2a5


3

What is (z5)2?

80% Answer Correctly
z-3
z10
5z2
z3

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z5)2
z(5 * 2)
z10


4

A tiger in a zoo has consumed 60 pounds of food in 12 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 75 pounds?

56% Answer Correctly
13
5
12
3

Solution

If the tiger has consumed 60 pounds of food in 12 days that's \( \frac{60}{12} \) = 5 pounds of food per day. The tiger needs to consume 75 - 60 = 15 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{15}{5} \) = 3 more days.


5

What is \( \frac{3}{7} \) ÷ \( \frac{2}{7} \)?

68% Answer Correctly
3
1\(\frac{1}{2}\)
\(\frac{1}{36}\)
\(\frac{1}{18}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{7} \) ÷ \( \frac{2}{7} \) = \( \frac{3}{7} \) x \( \frac{7}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{7} \) x \( \frac{7}{2} \) = \( \frac{3 x 7}{7 x 2} \) = \( \frac{21}{14} \) = 1\(\frac{1}{2}\)